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Unified Structure of Basic UWB Waveforms

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3 Author(s)
Ghavami, M. ; Dept. of Electron. Eng., King''s Coll. London, London ; Amini, A. ; Marvasti, F.

In this brief, a generalized expression for the popular ultra wideband waveforms is derived. It is shown that all three waveforms used in ultra wideband (Gaussian, modified Hermite, and prolate spheroidal waveforms) fulfill the Sturm-Liouville differential equation. By using this unified structure, characteristics of the waveforms such as orthogonality, finite duration in time and frequency spectrum are explained.

Published in:

Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:55 ,  Issue: 12 )